| 基于LMI的连续时间模糊大系统的分散镇定 |
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| 引用本文： | 张友刚,向静,肖建.基于LMI的连续时间模糊大系统的分散镇定[J].系统工程与电子技术,2004,26(6):773-776. |
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| 作者姓名： | 张友刚 向静 肖建 |
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| 作者单位： | 1. 西南交通大学电气工程学院,四川,成都,610031
2. 西南交通大学经济管理学院,四川,成都,610031 |
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| 基金项目： | 国家自然科学基金资助课题(69774024) |
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| 摘 要： | 讨论了连续时间模糊大系统的分散镇定问题。整个模糊大系统由m个相互关联的T-S子模糊系统组成。基于李亚普诺夫稳定性理论及大系统分散控制理论,将单个模糊系统的稳定性条件推广到关联模糊大系统的情形,给出了保证该模糊大系统闭环渐近稳定的分散化并行分布补偿(decentralizedparalleldistributedcompensation,DPDC)控制器的设计方法。这些分散控制器的存在条件均以LMI的形式出现,因此可通过Matlab的LMI工具箱有效地对其进行求解。仿真例子说明了所提方法的有效性。
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| 关 键 词： | 模糊大系统 分散镇定 线性距阵不等式 |
| 文章编号： | 1001-506X(2004)06-0773-04 |
| 修稿时间： | 2003年6月28日 |
Decentralized stabilization of continuous-time fuzzy large-scale systems via LMI method |
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| ZHANG You-gang,XIANG Jing,XIAO Jian.Decentralized stabilization of continuous-time fuzzy large-scale systems via LMI method[J].System Engineering and Electronics,2004,26(6):773-776. |
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| Authors: | ZHANG You-gang XIANG Jing XIAO Jian |
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| Institution: | ZHANG You-gang~1,XIANG Jing~2,XIAO Jian~1 |
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| Abstract: | Decentralized stabilization problem of continuous-time fuzzy large-scale systems is considered. A fuzzy large-scale system consists of m interconnected T-S fuzzy subsystems. Based on Lyapunov stability theory and decentralized control theory of large-scale system, sufficient conditions for asymptotic stability of a single fuzzy system are extended to fuzzy large-scale systems, and design metheds of decentralized parallel distributed compensation (DPDC) fuzzy controllers to ensure the asymptotic stability of the whole fuzzy large-scale system are proposed. The existence conditions for these controllers take the forms of LMIs, which can be solved efficiently via LMI toolbox in Matlab software. Finally a simulation example is given to show the utility of the proposed method. |
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| Keywords: | fuzzy large-scale system decentralized stabilization LMI |
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